538953639840 has 960 divisors, whose sum is σ = 2422062010368. Its totient is φ = 109598054400.

The previous prime is 538953639821. The next prime is 538953639841. The reversal of 538953639840 is 48936359835.

538953639840 is a `hidden beast` number, since 5 + 3 + 8 + 9 + 536 + 3 + 98 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (538953639841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46896495 + ... + 46907985.

Almost surely, 2^538953639840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538953639840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211031005184).

538953639840 is an abundant number, since it is smaller than the sum of its proper divisors (1883108370528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

538953639840 is a wasteful number, since it uses less digits than its factorization.

538953639840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11583 (or 11566 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 538953639840 in words is "five hundred thirty-eight billion, nine hundred fifty-three million, six hundred thirty-nine thousand, eight hundred forty".